Treatability Constant at 30 degree Celsius and 20 ft Filter Depth Calculator

Formula Used:

\[ K_{30/20} = K_{30/25} \times \left(\frac{D_2}{D_1}\right)^a \]

Treatability Constant at 30°C and 25ft Depth:

Depth of Actual Filter (D₂):

Depth of Reference Filter (D₁):

Empirical Constant (a):

Treatability Constant at 30°C and 20ft Depth (K₃₀/₂₀):

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1. What is Treatability Constant at 30°C and 20ft Depth?

Definition: The Treatability Constant at 30°C and 20ft depth refers to a rate coefficient indicating the effectiveness of a treatment process at the standard temperature of 30°C at 20ft filter depth.

Purpose: It helps water treatment professionals evaluate and compare filtration system performance under standardized conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ K_{30/20} = K_{30/25} \times \left(\frac{D_2}{D_1}\right)^a \]

Where:

\( K_{30/20} \) — Treatability Constant at 30°C and 20ft depth
\( K_{30/25} \) — Treatability Constant at 30°C and 25ft depth
\( D_2 \) — Depth of actual filter (m)
\( D_1 \) — Depth of reference filter (m, typically 6.1m for 20ft)
\( a \) — Empirical constant (typically 0.3)

Explanation: The formula adjusts the known treatability constant at 25ft depth to the equivalent value at 20ft depth based on the ratio of filter depths raised to an empirical power.

3. Importance of Treatability Constant Calculation

Details: Accurate treatability constants are essential for designing efficient water treatment systems and predicting filtration performance under different conditions.

4. Using the Calculator

Tips: Enter the treatability constant at 25ft depth, actual filter depth (D₂), reference filter depth (D₁, default 6.1m), and empirical constant (default 0.3). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why is temperature standardized at 30°C?
A: 30°C is a common reference temperature for comparing water treatment processes as it represents typical warm conditions where biological activity is significant.

Q2: What's a typical empirical constant value?
A: The empirical constant typically ranges from 0.2 to 0.4, with 0.3 being a common default value for many filtration systems.

Q3: When would I change the reference filter depth?
A: Only change from the default 6.1m (20ft) if you're converting between different standard depths, such as from 25ft (7.62m) to 20ft (6.1m).

Q4: How precise should the treatability constant be?
A: Treatability constants are typically reported with 4-6 significant figures as they represent empirically determined rate coefficients.

Q5: Can this formula be used for other temperature conditions?
A: No, this specific formula is for standardizing depth at 30°C. Different formulas are needed for temperature adjustments.